Question

,/>Z͕Z͘͘ Dinâmica͗ ŵĞĐąŶŝĐĂƉĂƌĂĞŶŐĞŶŚĂƌŝĂ͕ϭϮĞĚ͘^ĆŽWĂƵůŽ͗WĞĂƌƐŽŶ͕ϮϬϭϮ;ĂĚ ĂƉƚĂĚŽͿ͘ KĚĞƐĞŶǀŽůǀŝŵĞŶƚŽĚĞŵŽĚĞůŽƐŵĂƚĞŵĄƟĐŽƐĠĚĞĨƵŶĚĂŵĞŶƚĂůŝŵƉŽƌƚąŶĐŝĂƉĂƌĂĂĂŶĄůŝƐĞĚŝŶąŵŝĐĂĚĂƐ ŵĄƋƵŝŶĂƐ͘ K ƐŝƐƚĞŵĂ ǀŝďƌĂƚſƌŝŽ ĂŵŽƌƚĞĐŝĚŽ ŵŽƐƚƌĂĚŽ ŶĂ ĮŐƵƌĂ ĂĐŝ ŵĂ ĂƉƌĞƐĞŶƚĂ ĐŽĞĮĐŝĞŶƚĞ ĚĞ ƌŝŐŝĚĞǌ Ŭ͕ ĐŽĞĮĐŝĞŶƚĞ ĚĞ ĂŵŽƌƚĞĐŝŵĞŶƚŽ Đ͕ ŵĂƐƐĂ ŵ Ğ ƌĞƉƌĞƐĞŶƚĂ Ƶŵ ƐŝƐƚĞ ŵĂ ĚĞ Ƶŵ ŐƌĂƵ ĚĞ ůŝďĞƌĚĂĚĞ ƋƵĞ ĂƉƌĞƐĞŶƚĂƌĄŵŽǀŝŵĞŶƚŽǀĞƌƟĐĂůĂƉĂƌƟƌĚĞƐƵĂůŝŶŚĂĚĞĞƋƵŝůşďƌŝŽĞƐƚĄƟĐŽ͕ĐŽŵĐŽŽƌĚĞŶĂĚĂŐĞŶĞƌĂůŝǌĂĚĂǆ;ƚͿ͘ KŵŽǀŝŵĞŶƚŽĂĐŽŶƚĞĐĞƌĄƉŽƌŵĞŝŽĚĞƵŵĚĞƐďĂůĂŶĐĞĂŵĞŶƚŽƌŽƚĂƟǀŽ;ŵ ͘ŚͿ͕ƐĞŶĚŽŵ ĂŵĂƐƐĂĚĞƐďĂůĂŶĐĞĂĚĂ 0 0 ĞŚĂĚŝƐƚąŶĐŝĂĚĞŵ ĂŽĐĞŶƚƌŽĚĞƌŽƚĂĕĆŽ͘KďƐĞƌǀĂͲƐĞƋƵĞĂŵĂƐƐĂŵĚŽƐŝƐƚĞŵĂŝŶĐůƵ ŝŽĚĞƐĞƋƵŝůşďƌŝŽŵ . 0 0 KƐŝƐƚĞŵĂĂƉƌĞƐĞŶƚĂĨƌĞƋƵġŶĐŝĂĚĞĞǆĐŝƚĂĕĆŽĚĞϲϬϬƌƉŵ͘ĂĚŽƐ͗ ŵсϭϬŬŐ͕ŬсϭϮϬEͬŵ͕ĐсϱϬE͘Ɛͬŵ͕ ;ŵ ͘ŚͿсϬ͕ϬϭŬŐ͘ŵ͘ 0 ĞƋƵĂĕĆŽĚĞŵŽǀŝŵĞŶƚŽĚŝĨĞƌĞŶĐŝĂůĞĂĨƌĞƋƵġŶĐŝĂŶĂƚƵƌĂůĚŽƐŝƐƚĞŵĂ͕ĞŵƌĂĚͬƐ͕ƐĆŽĚĂĚŽƐƉŽƌ

Accepted Answer

E) x¨ + 10 ˙x + 36x = 0, 4π2sen20πt
ωn = 6rad/s
20
E'E,Z/DE/

Answer

A) 10¨x + 50 ˙x + 120x = 4π2sen20πt
√
ωn = 12rad/s

Answer

B) sen 600 t ωn = 6rad/s

Answer

C) x¨ + 10 ˙√x + 36x = 40sen600t ωn = 12rad/s

Answer

D) 10¨x + 100 ˙x + 360x = 20π2sen600t ωn = 6rad/s

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